Existence Results for Hemivariational Inequalities with Measures

Siegfried Carl; Vy Khoi Le

doi:10.1080/00036810701397796

Existence Results for Hemivariational Inequalities with Measures

Siegfried Carl
, Vy Khoi Le

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

We prove existence results for multivalued quasilinear elliptic problems of hemivariational inequality type with measure data right-hand sides. In case of L1-data, we study existence and enclosure behaviors of solutions by an appropriate sub-supersolution approach. The proofs of our results are based on general existence theory for multivalued pseudomonotone operators, and approximation-, truncation-, and special test function techniques.

Original language	American English
Journal	Applicable Analysis
DOIs	https://doi.org/10.1080/00036810701397796
State	Published - Jan 1 2007

Keywords

L1-data
clarke's generalized gradient
hemivariational inequality
multivalued pseudomonotone operators
quasilinear elliptic inclusion
radon-measure

Disciplines

Mathematics
Statistics and Probability

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https://doi.org/10.1080/00036810701397796

Cite this

@article{c4b00b7bd3f04a0d8ef3f8774e25d7f0,

title = "Existence Results for Hemivariational Inequalities with Measures",

abstract = " We prove existence results for multivalued quasilinear elliptic problems of hemivariational inequality type with measure data right-hand sides. In case of L1-data, we study existence and enclosure behaviors of solutions by an appropriate sub-supersolution approach. The proofs of our results are based on general existence theory for multivalued pseudomonotone operators, and approximation-, truncation-, and special test function techniques.",

keywords = "L1-data, clarke's generalized gradient, hemivariational inequality, multivalued pseudomonotone operators, quasilinear elliptic inclusion, radon-measure",

author = "Siegfried Carl and Le, \{Vy Khoi\}",

year = "2007",

month = jan,

day = "1",

doi = "10.1080/00036810701397796",

language = "American English",

journal = "Applicable Analysis",

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TY - JOUR

T1 - Existence Results for Hemivariational Inequalities with Measures

AU - Carl, Siegfried

AU - Le, Vy Khoi

PY - 2007/1/1

Y1 - 2007/1/1

N2 - We prove existence results for multivalued quasilinear elliptic problems of hemivariational inequality type with measure data right-hand sides. In case of L1-data, we study existence and enclosure behaviors of solutions by an appropriate sub-supersolution approach. The proofs of our results are based on general existence theory for multivalued pseudomonotone operators, and approximation-, truncation-, and special test function techniques.

AB - We prove existence results for multivalued quasilinear elliptic problems of hemivariational inequality type with measure data right-hand sides. In case of L1-data, we study existence and enclosure behaviors of solutions by an appropriate sub-supersolution approach. The proofs of our results are based on general existence theory for multivalued pseudomonotone operators, and approximation-, truncation-, and special test function techniques.

KW - L1-data

KW - clarke's generalized gradient

KW - hemivariational inequality

KW - multivalued pseudomonotone operators

KW - quasilinear elliptic inclusion

KW - radon-measure

UR - https://scholarsmine.mst.edu/math_stat_facwork/315

UR - https://doi.org/10.1080/00036810701397796

U2 - 10.1080/00036810701397796

DO - 10.1080/00036810701397796

M3 - Article

JO - Applicable Analysis

JF - Applicable Analysis

ER -

Existence Results for Hemivariational Inequalities with Measures

Abstract

Keywords

Disciplines

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